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Log 4 (72)

Log 4 (72) is the logarithm of 72 to the base 4:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log4 (72) = 3.0849625007212.

Calculate Log Base 4 of 72

To solve the equation log 4 (72) = x carry out the following steps.
  1. Apply the change of base rule:
    log a (x) = log b (x) / log b (a)
    With b = 10:
    log a (x) = log(x) / log(a)
  2. Substitute the variables:
    With x = 72, a = 4:
    log 4 (72) = log(72) / log(4)
  3. Evaluate the term:
    log(72) / log(4)
    = 1.39794000867204 / 1.92427928606188
    = 3.0849625007212
    = Logarithm of 72 with base 4
Here’s the logarithm of 4 to the base 72.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 4 3.0849625007212 = 72
  • 4 3.0849625007212 = 72 is the exponential form of log4 (72)
  • 4 is the logarithm base of log4 (72)
  • 72 is the argument of log4 (72)
  • 3.0849625007212 is the exponent or power of 4 3.0849625007212 = 72
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log4 72?

Log4 (72) = 3.0849625007212.

How do you find the value of log 472?

Carry out the change of base logarithm operation.

What does log 4 72 mean?

It means the logarithm of 72 with base 4.

How do you solve log base 4 72?

Apply the change of base rule, substitute the variables, and evaluate the term.

What is the log base 4 of 72?

The value is 3.0849625007212.

How do you write log 4 72 in exponential form?

In exponential form is 4 3.0849625007212 = 72.

What is log4 (72) equal to?

log base 4 of 72 = 3.0849625007212.
For further questions about the logarithm equation, common logarithms, the exponential function or the exponential equation fill in the form at the bottom.

Summary

In conclusion, log base 4 of 72 = 3.0849625007212.

You now know everything about the logarithm with base 4, argument 72 and exponent 3.0849625007212.
Further information, particularly about the binary logarithm, natural logarithm and decadic logarithm can be located in our article logarithm.

Besides the types of logarithms, there, we also shed a light on the terms on the properties of logarithms and the logarithm function, just to name a few.
Thanks for visiting Log4 (72).

Table

Our quick conversion table is easy to use:
log 4(x) Value
log 4(71.5)=3.0799356683892
log 4(71.51)=3.0800365490999
log 4(71.52)=3.0801374157043
log 4(71.53)=3.0802382682064
log 4(71.54)=3.0803391066103
log 4(71.55)=3.0804399309197
log 4(71.56)=3.0805407411386
log 4(71.57)=3.080641537271
log 4(71.58)=3.0807423193208
log 4(71.59)=3.080843087292
log 4(71.6)=3.0809438411884
log 4(71.61)=3.0810445810141
log 4(71.62)=3.0811453067729
log 4(71.63)=3.0812460184688
log 4(71.64)=3.0813467161056
log 4(71.65)=3.0814473996874
log 4(71.66)=3.081548069218
log 4(71.67)=3.0816487247014
log 4(71.68)=3.0817493661414
log 4(71.69)=3.0818499935421
log 4(71.7)=3.0819506069073
log 4(71.71)=3.0820512062409
log 4(71.72)=3.0821517915468
log 4(71.73)=3.082252362829
log 4(71.74)=3.0823529200914
log 4(71.75)=3.0824534633378
log 4(71.76)=3.0825539925723
log 4(71.77)=3.0826545077986
log 4(71.78)=3.0827550090207
log 4(71.79)=3.0828554962425
log 4(71.8)=3.0829559694678
log 4(71.81)=3.0830564287007
log 4(71.82)=3.083156873945
log 4(71.83)=3.0832573052045
log 4(71.84)=3.0833577224832
log 4(71.85)=3.083458125785
log 4(71.86)=3.0835585151137
log 4(71.87)=3.0836588904733
log 4(71.88)=3.0837592518676
log 4(71.89)=3.0838595993005
log 4(71.9)=3.083959932776
log 4(71.91)=3.0840602522978
log 4(71.92)=3.0841605578699
log 4(71.93)=3.0842608494961
log 4(71.94)=3.0843611271803
log 4(71.95)=3.0844613909265
log 4(71.96)=3.0845616407384
log 4(71.97)=3.0846618766199
log 4(71.98)=3.084762098575
log 4(71.99)=3.0848623066075
log 4(72)=3.0849625007212
log 4(72.01)=3.08506268092
log 4(72.02)=3.0851628472078
log 4(72.03)=3.0852629995884
log 4(72.04)=3.0853631380658
log 4(72.05)=3.0854632626437
log 4(72.06)=3.085563373326
log 4(72.07)=3.0856634701167
log 4(72.08)=3.0857635530194
log 4(72.09)=3.0858636220382
log 4(72.1)=3.0859636771767
log 4(72.11)=3.086063718439
log 4(72.12)=3.0861637458288
log 4(72.13)=3.08626375935
log 4(72.14)=3.0863637590064
log 4(72.15)=3.0864637448019
log 4(72.16)=3.0865637167403
log 4(72.17)=3.0866636748255
log 4(72.18)=3.0867636190613
log 4(72.19)=3.0868635494514
log 4(72.2)=3.0869634659999
log 4(72.21)=3.0870633687105
log 4(72.22)=3.087163257587
log 4(72.23)=3.0872631326332
log 4(72.24)=3.0873629938531
log 4(72.25)=3.0874628412503
log 4(72.26)=3.0875626748289
log 4(72.27)=3.0876624945925
log 4(72.28)=3.0877623005449
log 4(72.29)=3.0878620926901
log 4(72.3)=3.0879618710319
log 4(72.31)=3.088061635574
log 4(72.32)=3.0881613863202
log 4(72.33)=3.0882611232745
log 4(72.34)=3.0883608464405
log 4(72.35)=3.0884605558222
log 4(72.36)=3.0885602514233
log 4(72.37)=3.0886599332476
log 4(72.38)=3.0887596012989
log 4(72.39)=3.0888592555811
log 4(72.4)=3.0889588960979
log 4(72.41)=3.0890585228532
log 4(72.42)=3.0891581358507
log 4(72.43)=3.0892577350943
log 4(72.44)=3.0893573205877
log 4(72.45)=3.0894568923348
log 4(72.46)=3.0895564503393
log 4(72.47)=3.089655994605
log 4(72.480000000001)=3.0897555251358
log 4(72.490000000001)=3.0898550419353
log 4(72.500000000001)=3.0899545450075

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